
Burgers: \(u_t = \nu u_{xx} - uu_x\) , shared on the github repository mentionned in [1]} . The solution here is very similar to the one obtained using the analytical expression below using Dirac delta initial conditions.

Kuramoto-Sivashinky (KS): \(u_t = -uu_x -u_{xx} - u_{xxxx}\) , shared on the github repository mentionned in [2]}.

